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Finding the Fourth Proportional to 442,153.05, 663,369.76 and 157,837.50

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Solution

The fourth proportional to 442,153.05, 663,369.76 and 157,837.50 is: 236,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,153.05 : 663,369.76 = 157,837.50 : x
  2. Step 2: Convert to fraction form
    442,153.05/663,369.76 = 157,837.50/x
  3. Step 3: Cross multiply
    442,153.05x = 663,369.76 × 157,837.50
  4. Step 4: Simplify right side
    442,153.05x = 104,704,624,494
  5. Step 5: Solve for x
    x = 104,704,624,494/442,153.05
  6. Step 6: Final answer
    x = 236,806.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.